87766596792 has 320 divisors, whose sum is σ = 297090816000. Its totient is φ = 23647313664.

The previous prime is 87766596781. The next prime is 87766596803. The reversal of 87766596792 is 29769566778.

It is an interprime number because it is at equal distance from previous prime (87766596781) and next prime (87766596803).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87766596792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19733913 + ... + 19738359.

It is an arithmetic number, because the mean of its divisors is an integer number (928408800).

Almost surely, 2^87766596792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87766596792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148545408000).

87766596792 is an abundant number, since it is smaller than the sum of its proper divisors (209324219208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87766596792 is a wasteful number, since it uses less digits than its factorization.

87766596792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4707 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 87766596792 in words is "eighty-seven billion, seven hundred sixty-six million, five hundred ninety-six thousand, seven hundred ninety-two".